Surjective partial differential operators on spaces of ultradifferentiable functions of Roumieu type

DOI10.1007/BF03322223zbMath0859.35019OpenAlexW2079247261MaRDI QIDQ1921418

Michael Langenbruch

Publication date: 9 April 1997

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03322223

zbMATH Keywords

surjectivitysemielliptic operators

Mathematics Subject Classification ID

Topological linear spaces of test functions, distributions and ultradistributions (46F05) Convexity properties of solutions to PDEs with constant coefficients (35E10) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items

Convolution equations for ultradifferentiable functions and ultradistributions, Intersections of Fréchet Schwartz spaces and their duals, Parameter dependence of solutions of the Cauchy-Riemann equation on weighted spaces of smooth functions, Almost periodic ultradistributions of Beurling and of Roumieu type, Pseudodifferential operators of Beurling type and the wave front set, Intersections of Fréchet spaces and (LB)-spaces, Convolution operators on spaces of real analytic functions, Surjectivity of Partial Differential Operators on Gevrey Classes and Extension of Regularity, Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences

Cites Work

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• Existence of Fundamental Solutions and Surjectivity of Convolution Operators on Classes of Ultra-Differentiable Functions
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• Characterization of the Linear Partial Differential Operators with Constant Coefficients Which are Surjective on Non‐quasianalytic Classes of Roumieu Type on ℝ^N
• Continuous Linear Right Inverses for Partial Differential Operators on Non ‐ Quasianalytic Classes and on Ultradistributions
• On the global existence of real analytic solutions of systems of linear differential equations with constant coefficients
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